Explanation: This issue is due to Chrome. When Chrome is on a secure website (https://Codio.com), it refuses to call non-secure (http://) external resources.
Solution/Workaround 1: Also, instead of
<script src="http://mysite.org"></script> // which is forbidden by Chrome!
rather use:
<script src="//mysite.org"></script>
Solution/Workaround 2: I've been noticed[1] that Codio projects can be run on both https:// and http:// urls. So if your project get in trouble when run as :
https://d.codio.com/myName/myProject/App/
switch to no-secure url:
http://d.codio.com/myName/myProject/App/
And all the external ressources should load fine.
[1]: Big thanks to Joel Moss for this explanation and tips !